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Finding the Third Proportional to 215,626.22 and 472,771.69

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Solution

The third proportional to 215,626.22 and 472,771.69 is: 1,036,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,626.22 : 472,771.69 = 472,771.69 : x
  2. Step 2: Convert to fraction form
    215,626.22/472,771.69 = 472,771.69/x
  3. Step 3: Cross multiply
    215,626.22x = 472,771.69 × 472,771.69
  4. Step 4: Simplify right side
    215,626.22x = 223,513,068,501.60
  5. Step 5: Solve for x
    x = 223,513,068,501.60/215,626.22
  6. Step 6: Final answer
    x = 1,036,576.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.